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Finding the Fourth Proportional to 1,182.59, 1,777.13 and 1,105.45

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Solution

The fourth proportional to 1,182.59, 1,777.13 and 1,105.45 is: 1,661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.59 : 1,777.13 = 1,105.45 : x
  2. Step 2: Convert to fraction form
    1,182.59/1,777.13 = 1,105.45/x
  3. Step 3: Cross multiply
    1,182.59x = 1,777.13 × 1,105.45
  4. Step 4: Simplify right side
    1,182.59x = 1,964,520.98
  5. Step 5: Solve for x
    x = 1,964,520.98/1,182.59
  6. Step 6: Final answer
    x = 1,661.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.